Expression of type Equals

from the theory of proveit.numbers.numerals.decimals

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprRange, IndexedVar, Variable, a, b, c, d, k, m, n
from proveit.logic import Equals
from proveit.numbers import DecimalSequence, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, m)
sub_expr3 = ExprRange(sub_expr1, IndexedVar(d, sub_expr1), one, k)
expr = Equals(DecimalSequence(sub_expr2, ExprRange(sub_expr1, b, one, n), sub_expr3), DecimalSequence(sub_expr2, ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, n), sub_expr3))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ b, b, ..\left(n - 3\right) \times.., b ~ d_{1}, d_{2}, \ldots, d_{k}) = \texttt{\#}(a_{1}, a_{2}, \ldots, a_{m} ~ c_{1}, c_{2}, \ldots, c_{n} ~ d_{1}, d_{2}, \ldots, d_{k})

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	9, 8, 11
6	Literal
7	ExprTuple	9, 10, 11
8	ExprRange	lambda_map: 12 start_index: 18 end_index: 16
9	ExprRange	lambda_map: 13 start_index: 18 end_index: 14
10	ExprRange	lambda_map: 15 start_index: 18 end_index: 16
11	ExprRange	lambda_map: 17 start_index: 18 end_index: 19
12	Lambda	parameter: 28 body: 20
13	Lambda	parameter: 28 body: 21
14	Variable
15	Lambda	parameter: 28 body: 22
16	Variable
17	Lambda	parameter: 28 body: 23
18	Literal
19	Variable
20	Variable
21	IndexedVar	variable: 24 index: 28
22	IndexedVar	variable: 25 index: 28
23	IndexedVar	variable: 26 index: 28
24	Variable
25	Variable
26	Variable
27	ExprTuple	28
28	Variable